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12022100223181 is a prime number
BaseRepresentation
bin1010111011110001110100…
…0000110110010011001101
31120120022010211112202121221
42232330131000312103031
53033432230124120211
641322513202323341
72350365564553036
oct256743500662315
946508124482557
1012022100223181
1139155a9184664
121421b69059551
136928aa232b19
142d7c30baba8d
1515cac8249c71
hexaef1d0364cd

12022100223181 has 2 divisors, whose sum is σ = 12022100223182. Its totient is φ = 12022100223180.

The previous prime is 12022100223149. The next prime is 12022100223253. The reversal of 12022100223181 is 18132200122021.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11680741644100 + 341358579081 = 3417710^2 + 584259^2 .

It is a cyclic number.

It is not a de Polignac number, because 12022100223181 - 25 = 12022100223149 is a prime.

It is a super-2 number, since 2×120221002231812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12022100223121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6011050111590 + 6011050111591.

It is an arithmetic number, because the mean of its divisors is an integer number (6011050111591).

Almost surely, 212022100223181 is an apocalyptic number.

It is an amenable number.

12022100223181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12022100223181 is an equidigital number, since it uses as much as digits as its factorization.

12022100223181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 25.

The spelling of 12022100223181 in words is "twelve trillion, twenty-two billion, one hundred million, two hundred twenty-three thousand, one hundred eighty-one".